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Finding the Fourth Proportional to 183,806.75, 275,709.12 and 71,565.05

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Solution

The fourth proportional to 183,806.75, 275,709.12 and 71,565.05 is: 107,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,806.75 : 275,709.12 = 71,565.05 : x
  2. Step 2: Convert to fraction form
    183,806.75/275,709.12 = 71,565.05/x
  3. Step 3: Cross multiply
    183,806.75x = 275,709.12 × 71,565.05
  4. Step 4: Simplify right side
    183,806.75x = 19,731,137,379.16
  5. Step 5: Solve for x
    x = 19,731,137,379.16/183,806.75
  6. Step 6: Final answer
    x = 107,347.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.